630240 has 96 divisors (see below), whose sum is σ = 2159136. Its totient is φ = 153600.

The previous prime is 630229. The next prime is 630247. The reversal of 630240 is 42036.

630240 = 66² + 67² + ... + 129².

630240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6190 + ... + 6290.

It is an arithmetic number, because the mean of its divisors is an integer number (22491).

2⁶³⁰²⁴⁰ is an apocalyptic number.

630240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079568).

630240 is an abundant number, since it is smaller than the sum of its proper divisors (1528896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

630240 is a wasteful number, since it uses less digits than its factorization.

630240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 630240 is about 793.8765647127. The cubic root of 630240 is about 85.7370733063.

Adding to 630240 its reverse (42036), we get a palindrome (672276).

The spelling of 630240 in words is "six hundred thirty thousand, two hundred forty".